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Han, J.Y., Xiu, N.H. and Qi, H.D. (2006) Nonlinear Complementarity Theory and Algorithms. Shanghai Science and Technology Publishing House, Shanghai. (In Chinese)

has been cited by the following article:

• TITLE: An Interval Matrix Based Generalized Newton Method for Linear Complementarity Problems

  AUTHORS: Hai-Shan Han, Lan-Ying

  KEYWORDS: Linear Complementarity Problem, Nonlinear Penalized Equation, Interval Matrix, Generalized Newton Method

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.5 No.8, August 12, 2015

  ABSTRACT: The penalty equation of LCP is transformed into the absolute value equation, and then the existence of solutions for the penalty equation is proved by the regularity of the interval matrix. We propose a generalized Newton method for solving the linear complementarity problem with the regular interval matrix based on the nonlinear penalized equation. Further, we prove that this method is convergent. Numerical experiments are presented to show that the generalized Newton method is effective.